420462 has 48 divisors (see below), whose sum is σ = 1078272. Its totient is φ = 115920.

The previous prime is 420457. The next prime is 420467. The reversal of 420462 is 264024.

It is an interprime number because it is at equal distance from previous prime (420457) and next prime (420467).

It is a Harshad number since it is a multiple of its sum of digits (18).

420462 is a modest number, since divided by 462 gives 42 as remainder.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420467) by changing a digit.

420462 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5887 + ... + 5957.

It is an arithmetic number, because the mean of its divisors is an integer number (22464).

2⁴²⁰⁴⁶² is an apocalyptic number.

420462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136).

420462 is an abundant number, since it is smaller than the sum of its proper divisors (657810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420462 is a wasteful number, since it uses less digits than its factorization.

420462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420462 is about 648.4304126119. The cubic root of 420462 is about 74.9161730087.

Adding to 420462 its reverse (264024), we get a palindrome (684486).

The spelling of 420462 in words is "four hundred twenty thousand, four hundred sixty-two".